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Simplifying x2 + 18x + 81 = 25 Reorder the terms: 81 + 18x + x2 = 25 Solving 81 + 18x + x2 = 25 Solving for variable 'x'. Reorder the terms: 81 + -25 + 18x + x2 = 25 + -25 Combine like terms: 81 + -25 = 56 56 + 18x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 56 + 18x + x2 = 0 Factor a trinomial. (14 + x)(4 + x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-14, -4}
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